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Finding the Third Proportional to 85,695 and 184,545

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Solution

The third proportional to 85,695 and 184,545 is: 397,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695 : 184,545 = 184,545 : x
  2. Step 2: Convert to fraction form
    85,695/184,545 = 184,545/x
  3. Step 3: Cross multiply
    85,695x = 184,545 × 184,545
  4. Step 4: Simplify right side
    85,695x = 34,056,857,025
  5. Step 5: Solve for x
    x = 34,056,857,025/85,695
  6. Step 6: Final answer
    x = 397,419.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.